48271032705168 has 720 divisors, whose sum is σ = 172240411324800. Its totient is φ = 12540060707328.

The previous prime is 48271032705151. The next prime is 48271032705197. The reversal of 48271032705168 is 86150723017284.

48271032705168 is a `hidden beast` number, since 4 + 8 + 27 + 1 + 0 + 32 + 70 + 516 + 8 = 666.

48271032705168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2882360571 + ... + 2882377317.

Almost surely, 2^{48271032705168} is an apocalyptic number.

48271032705168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48271032705168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86120205662400).

48271032705168 is an abundant number, since it is smaller than the sum of its proper divisors (123969378619632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48271032705168 is a wasteful number, since it uses less digits than its factorization.

48271032705168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16929 (or 16839 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 48271032705168 in words is "forty-eight trillion, two hundred seventy-one billion, thirty-two million, seven hundred five thousand, one hundred sixty-eight".